The two legs of a right triangle are the same length. The hypotenuse is 4 meters long. Find the length of the legs. Express your answer in simplified radical form, or as a decimal rounded to four places.SolutionLet x be the length of one leg and let x be the length of the other leg.x2 + x2 = 422x2 = 16Divide both sides by 2x2 = 8x = √(8)x = √(4 × 2)x = √(4) × √(2)x = 2 × √(2) orx = 2 × 1.414213x = 2.828426x = 2.8284
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May 26, 22 06:50 AM
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